Finding the Third Proportional to 1,344.75 and 3,181.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.75 : 3,181.88 = 3,181.88 : x
2. Step 2: Convert to fraction form
   1,344.75/3,181.88 = 3,181.88/x
3. Step 3: Cross multiply
   1,344.75x = 3,181.88 × 3,181.88
4. Step 4: Simplify right side
   1,344.75x = 10,124,328.52
5. Step 5: Solve for x
   x = 10,124,328.52/1,344.75
6. Step 6: Final answer
   x = 7,528.78